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Finding the Fourth Proportional to 1,059.60, 1,586.64 and 734.48

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Solution

The fourth proportional to 1,059.60, 1,586.64 and 734.48 is: 1,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.60 : 1,586.64 = 734.48 : x
  2. Step 2: Convert to fraction form
    1,059.60/1,586.64 = 734.48/x
  3. Step 3: Cross multiply
    1,059.60x = 1,586.64 × 734.48
  4. Step 4: Simplify right side
    1,059.60x = 1,165,355.35
  5. Step 5: Solve for x
    x = 1,165,355.35/1,059.60
  6. Step 6: Final answer
    x = 1,099.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.